Identities by Generalized $L-$Summing Method

Details Identities by Generalized $L-$Summing Method Identities by Generalized $L-$Summing Method

2007-05-28

arxiv.org/abs/0705.4000v1

Mathematics

Numerical Analysis

8 pages, 2 figures

Scientific paper

In this paper, we introduce 3-dimensional $L-$summing method, which is a rearrangement of the summation $\sum A_{abc}$ with $1\leq a,b,c\leq n$. Applying this method on some special arrays, we obtain some identities on the Riemann zeta function and digamma function. Also, we give a Maple program for this method to obtain identities with input various arrays and out put identities concerning some elementary functions and hypergeometric functions. Finally, we introduce a further generalization of $L-$summing method in higher dimension spaces.

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